
Solving Systems of Equations by Elimination
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does elimination mean in the context of solving systems of equations?
Back
Elimination is a method used to solve systems of equations by removing one variable, allowing for the other variable to be solved easily.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
How do you eliminate a variable in a system of equations?
Back
To eliminate a variable, you can add or subtract the equations after multiplying them by suitable coefficients to make the coefficients of one variable the same.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by elimination?
Back
The first step is to align the equations and decide which variable to eliminate.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
If you have the equations 2x + 3y = 6 and 4x + 6y = 12, what can you conclude?
Back
The two equations represent the same line, so there are infinitely many solutions.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 3x + 2y = 12 and 3x - y = 3?
Back
The solution is (3, 0).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
If a system has no solution, it means the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
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